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Advanced MathQ&A LibraryUse Green's Theorem in the form of this equation to prove Green's first identity, where D and C satisfy the hypothesis of Green's Theorem and the appropriate partial derivatives of f and g exist and are continuous. (The quantity ∇g · n = Dng occurs in the line integral. This is the directional derivative in the direction of the normal vector n and is called the normal derivative of g.)Start your trial now! First week only $4.99!*arrow_forward*

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Use Green's Theorem in the form of this equation to prove **Green's first identity**, where *D* and *C* satisfy the hypothesis of Green's Theorem and the appropriate partial derivatives of *f* and *g* exist and are continuous. (The quantity ∇g · **n** = D_{n}g occurs in the line integral. This is the directional derivative in the direction of the normal vector **n** and is called the **normal derivative** of *g*.)

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